Quantification of the Intrinsic Error of the Kubelka-Munk Model Caused by Strong Light Absorption

Journal of Pulp and Paper Science

Volumn 29, Issue 11, 2003, Pages 386-390

  Granberg, H ^a   Edstrom P ^b  

^a ACREO AB   (Sweden)

^b MID SWEDEN UNIVERSITY   (Sweden)

Author keywords

Dyes; Errors; Kubelka munk equation; Light absorption; Mathematical models; Optical scattering

Indexed keywords

COMPOSITION; COMPUTATIONAL METHODS; DYES; FLUXES; LIGHT REFLECTION; LIGHT SCATTERING; PAPER AND PULP INDUSTRY; PAPER SHEETING;

RADATIVE TRANSFER;

LIGHT ABSORPTION;

CHEMICAL COMPOSITION; COMPUTATION; DYES; OPTICAL SCATTERING; PAPER INDUSTRY; PAPER SHEETS; REFLECTANCE; REFLECTION;

EID: 1242265048     PISSN: 08266220     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. KUBELKA, P. and MUNK, F., "Ein Beitrag zur Optik der Farbanstriche", Z. Tech. Phys. (11a):593-601 (1931).
2. KUBELKA, P., "New Contribution to the Optics of Intensely Light-Scattering Materials. Part I", J. Optical. Soc. Am. 38(5):448-457 (1948).
3. KUBELKA, P., "New Contribution to the Optics of Intensely Light-Scattering Materials. Part II: Nonhomogeneous Layers", J. Optical Soc. Am. 44(4):330-336 (1954).
4. "Paper - Determination of Light Scattering and Absorption Coefficients (Using Kubelka-Munk Theory)", ISO 9416, Intl. Org. Standardiz., Geneva, Switzerland (1998).
5. FOOTE, W.J., "An Investigation of the Fundamental Scattering and Absorption Coefficients of Dyed Handsheets", Paper Trade J. 109(December 21):TS333-340 (1939).
6. NORDMAN, L., AALTONEN, P. and MAKKONEN, T., "Relationships Between Mechanical and Optical Properties of Paper Affected by Web Consolidation", Trans. Symp. Consolidation Paper Web, Tech. Sect. Brit. Paper Board Makers' Assoc., London, UK, 2:909-927 (1966).
7. RUNDLÖF, M. and BRISTOW, J.A., "A Note Concerning the Interaction Between Light Scattering and Light Aborption in the Application of the Kubelka-Munk Equations", J. Pulp Paper Sci. 23(5):J220-J223 (1997).
8. VAN DEN AKKER, J.A., "Theory of Some of the Discrepancies Observed in Application of the Kubelka-Munk Equations to Particulate Systems" in Modern Aspects of Reflectance Spectroscopy, W.W. Wendlandt, Ed., Plenum Press, New York, NY, USA, 27-46 (1968).
9. KOUKOULAS, A.A. and JORDAN, B.D., "Effect of Strong Absorption on the Kubelka-Munk Scattering Coefficient", J. Pulp Paper Sci. 23(5):J224-J232 (1997).
10. BOHREN, C.F. and HUFFMAN, D.R., Absorption and Scattering of Light by Small Particles, John Wiley & Sons, Inc., New York, NY, USA (1998).
11. VAN DEN AKKER, J.A., "Discussion on "Relationships Between Mechanical and Optical Properties of Paper Affected by Web Consolidation"", Trans. Symp. Consolidation Paper Web, Tech. Sect. Brit. Paper Board Makers' Assoc., London, UK, 948-950 (1966).
12. BILLMEYER, Jr., F.W. and RICHARDS, L.W., "Scattering and Absorption of Radiation by Lighting Materials", J. Color Appearance 11(2):4-15 (1973).
13. MUDGETT, P. and RICHARDS, L.W., "Multiple Scattering Calculations for Technology", Applied Optics 10(9): 1485-1502 (1971).
14. MUDGETT, P. and RICHARDS. L.W., "Multiple Scattering Calculations for Technology II", J. Colloid Interface Sci. 39(3):551-567 (1972).
15. STAR, W.M., MARIJNISSEN, J.P.A. and VAN GEMERT, M.J.C., "Light Dosimetry in Optical Phantoms and in Tissues: I. Multiple Flux and Transport Theory", Phys. Med. Biol. 33(4):437-454 (1988).
16. EDSTRÖM, P., "Fast and Stable Solution Method for Angle-Resolved Light Scattering Simulation", FSCN Report - ISSN 1650-5387 2002:12, Mid Sweden Univ., Stockholm, Sweden (2002).
17. EDSTRÖM, P., "Fast and Stable Solution Method for Angle-Resolved Light Scattering Simulation II - Model Enhancements", FSCN Report- ISSN 1650-5387 2003:17, Mid Sweden Univ., Stockholm, Sweden (2003).
18. VAN DE HULST, H.C., Multiple Light Scattering. Tables, Formulas, and Applications. Vol. 2, Academic Press, New York, NY, USA (1980).
19. PAULER, N., "Opacity and Reflectivity of Multilayer Structures" in Paper - Structure and Properties, J.A. Bristow and P. Kolseth, Eds., Intl. Fiber Sci. Technol. Series, 8, Marcel Dekker Inc., New York, NY, USA (1986).
20. GRANBERG, H., RUNDLÖF, M. and MATTSSON, L., "Influence of Surface-Induced Nonuniform Reflectance on the Diffuse Reflectance Factor. Part I: Model Predictions", J. Pulp Paper Sci. 19(8):247-253 (2003).
21. GRANBERG, H., RUNDLÖF, M., and MATTSSON, L., "Influence of Surface-Induced Nonuniform Reflectance on the Diffuse Reflectance Factor. Part II: Experimental Verification for Coated Substrates", J. Pulp Paper Sci. 29(8):254-259 (2003).
22. YOON, G., PRAHL, S.A. and WELSH, A.J., "Accuracies of the Diffusion Approximation and its Similarity Relations for Laser Irradiated Biological Media", Appl. Optics 28:2250-2255 (1989).
23. GRANBERG, H., JENSEN, J. and MATTSSON, L., "Forward Scattering of Fiber-Containing Surfaces Studied by 3-Dimensional Reflectance Distribution Simulations and Measurements", Optical Engin. 42(8):2384-2390 (2003).
24. HAINZL, R., BERGLIND, R., BJUGGREN, M., BÉLAND, M.-C., QUINTEROS, T., GRANBERG, H. and MATTSSON, L., "A New Light Scattering Model for Simulating the Interaction Between Light and Paper", Proc. 2000 Intl. Printing Graphic Arts Conf., TAPPI PRESS, 9-17 (2000).